112016872800 has 432 divisors, whose sum is σ = 453462976512. Its totient is φ = 25488460800.

The previous prime is 112016872771. The next prime is 112016872817. The reversal of 112016872800 is 8278610211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11435905 + ... + 11445695.

It is an arithmetic number, because the mean of its divisors is an integer number (1049682816).

Almost surely, 2^112016872800 is an apocalyptic number.

112016872800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112016872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226731488256).

112016872800 is an abundant number, since it is smaller than the sum of its proper divisors (341446103712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112016872800 is a wasteful number, since it uses less digits than its factorization.

112016872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10035 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 112016872800 in words is "one hundred twelve billion, sixteen million, eight hundred seventy-two thousand, eight hundred".